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The graatagold (short for 'gratuitous golden googol', also called graatagond, formerly graatada) is equal to E100##100##2 = E100##100#100, using Extended Hyper-E Notation.[1][2] Graatagold is comparable to Bowers' corporal, and it is the smallest of Sbiis Saibian's googolisms that is larger than Graham's number.

Graatagold can be computed in the following process:

• $$a_0 = 100$$
• $$a_1 = E100\#\# 100$$
• $$a_2 = E100\#\# a_1$$
• $$a_3 = E100\#\# a_2$$
• etc.
• Graatagold is equal to $$a_{100}$$.

## Approximations in other notations

Notation Approximation
Chained arrow notation $$100 \rightarrow 100 \rightarrow 101 \rightarrow 2$$
BEAF $$\{100,101,1,2\}$$
Hyperfactorial array notation $$100![2]$$
X-Sequence Hyper-Exponential Notation $$100\{X+1\}101$$
Strong array notation $$s(100,101,2,2)$$
Fast-growing hierarchy $$f_{\omega+1}(100)$$
Hardy hierarchy $$H_{\omega^{\omega+1}}(100)$$
Slow-growing hierarchy $$g_{\varphi(1,0,0)}(100)$$

## Sources

1. Saibian, Sbiis. Extended Hyper-E Numbers. Retrieved 2015-05-14.
2. Sbiis Saibian's Ultimate Large Numbers List Part II

## See also

Googol — Greagol
Greagol — Gugold
Throogol — Godgahlah-ex-grand godgahlah